QuestionCalculate the state's income tax function for the following incomes: (a) , (b) , (c) .
Studdy Solution
STEP 1
Assumptions1. The function h(x) represents the state's income tax for a single person in a recent year, where x is the person's taxable income.
. The function is defined as a piecewise function with three different rules for different ranges of taxable income.
3. The function is defined as follows - If the taxable income x is between0 and5999 (inclusive of0 and exclusive of6000), the tax is% of the taxable income.
- If the taxable income x is between6000 and10999 (inclusive of6000 and exclusive of11000), the tax is 6000.
- If the taxable income x is 270 plus4% of the amount by which the taxable income exceeds $11000.
STEP 2
First, we need to calculate the tax for a taxable income of 1260 falls in the first range (0 to5999), we use the first rule of the function.
STEP 3
Calculate the tax amount for a taxable income of $1260.
The tax for a taxable income of 25.2.
STEP 4
Next, we need to calculate the tax for a taxable income of 7160 falls in the second range (6000 to10999), we use the second rule of the function.
STEP 5
Calculate the tax amount for a taxable income of $7160.
The tax for a taxable income of 468.
STEP 6
Finally, we need to calculate the tax for a taxable income of 49070 falls in the third range (11000 and above), we use the third rule of the function.
STEP 7
Calculate the tax amount for a taxable income of $49070.
The tax for a taxable income of 1792..
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